How using the average velocity gives the exact value of s?

[almirza]

Homework Statement

When we got a constant acceleration or a variable acceleration (i.e. when the velocity of the moving object is not constant), we use averge velocity to be equal to (∆s/∆t).
What I was wondering that if for example we got all the velocities so we can calculate the averge of them and the time taken and we need to calculate the displacement moved, how using averge velocity can give us the right answer or the right value for ∆s?
Is it really the exact displacement moved in time ∆t? How?

Homework Equations

The Attempt at a Solution

 

[G01]

You average velocity won't give you the exact value for $$\Delta s$$. Your average velocity in that formula will give you an average displacement per unit time interval.

 

[almirza]

You average velocity won't give you the exact value for $$\Delta s$$. Your average velocity in that formula will give you an average displacement per unit time interval.

Thank you